Greatest Common Factor of 82/986, 643/271, 708/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/986, 643/271, 708/185

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 82/986,643/271,708/185

Given fractions are 82/986,643/271,708/185

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 82,643,708

Greatest Common Factor of Numerators i.e. GCF of 82,643,708 is 1 .

LCM of Denominators means LCM of 986,271,185 as per the given fractions.

LCM of 986,271,185 is 49433110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,643,708

GCF of Fractions 82/986,643/271,708/185 is 1/49433110

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 82,643,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,643,708 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 82,643,708 . The biggest common factor number is the GCF number.
So the greatest common factor 82,643,708 is 1.

Lets's calculate LCM of 986,271,185

Given numbers has no common factors except 1. So, there LCM is their product i.e 49433110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49433110

Therefore, the GCF of Fractions 82/986,643/271,708/185 is 1/49433110

Least Common Multiple of 986,271,185 with GCF Formula

Least Common Multiple of 986,271,185 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 986,271,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,271,185) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(986,271,185) x common factors =1 x 1 = 1

LCM(986,271,185) = ( 986 × 271 × 185 ) / 1

LCM(986,271,185) = 49433110 / 1

LCM(986,271,185) = 49433110


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 82/986, 643/271, 708/185

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 82/986, 643/271, 708/185?

Answer: GCF of Numerators as per given numbers 82/986, 643/271, 708/185 is

GCF of Numerators i.e. for 82,643,708 is 1

LCM of denominators i.e. for 986,271,185 is 49433110.

Thus, GCF of Fractions is 1/49433110.Finally, GCF of Fractions for 82/986, 643/271, 708/185 is 1/49433110.